Weak-field limit of f(R) gravity to unify peculiar white dwarfs

In recent years, the idea of sub- and super-Chandrasekhar limiting mass white dwarfs (WDs), which are potential candidates to produce under- over-luminous type Ia supernovae, respectively, has been a key interest in scientific community. Although researchers have proposed different models explain these peculiar objects, modified theories Einstein's gravity, particularly f(R) gravity with R being scalar curvature, seem be one finest choices both regimes WDs. It was already shown that considering higher-order corrections Starobinsky model two parameters, structure progenitor WDs can explained self consistently. is also well-known considered Newtonian objects because their large size. this paper, we derive weak-field limit turns out correction Poisson equation. Later, use equation obtain structures at various central densities incorporating just parameter.